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Simplifying 9(r + -6) = 5r + -58 Reorder the terms: 9(-6 + r) = 5r + -58 (-6 * 9 + r * 9) = 5r + -58 (-54 + 9r) = 5r + -58 Reorder the terms: -54 + 9r = -58 + 5r Solving -54 + 9r = -58 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -54 + 9r + -5r = -58 + 5r + -5r Combine like terms: 9r + -5r = 4r -54 + 4r = -58 + 5r + -5r Combine like terms: 5r + -5r = 0 -54 + 4r = -58 + 0 -54 + 4r = -58 Add '54' to each side of the equation. -54 + 54 + 4r = -58 + 54 Combine like terms: -54 + 54 = 0 0 + 4r = -58 + 54 4r = -58 + 54 Combine like terms: -58 + 54 = -4 4r = -4 Divide each side by '4'. r = -1 Simplifying r = -1
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